What is the derivative of \sqrt[10]{x} ?

The derivative of \sqrt[10]{x} is 1/(10x^{9/10)}

What is the first derivative of \sqrt[10]{x} ?

The first derivative of \sqrt[10]{x} is 1/(10x^{9/10)}

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derivative of

\frac{1}{10 x ^{\frac{9}{10}}}

Solution steps

Apply radical rule:

= \frac{d}{d x} (x^{\frac{1}{10}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{10} x^{\frac{1}{10} - 1}

Simplify

\frac{1}{10} x^{\frac{1}{10} - 1} : \frac{1}{10 x ^{\frac{9}{10}}}

= \frac{1}{10 x ^{\frac{9}{10}}}

y = \frac{14}{1 + e ^{- x}}, (0, 7)

\int 13 ln (x^{2} - x + 6) d x

\frac{d}{d x} (x^{4} + 3)

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What is the derivative of \sqrt[10]{x} ?
The derivative of \sqrt[10]{x} is 1/(10x^{9/10)}
What is the first derivative of \sqrt[10]{x} ?
The first derivative of \sqrt[10]{x} is 1/(10x^{9/10)}